I N S T R U C T I O N S
Click on the 'RADIUS' button, enter the time and mass, click on 'CALCULATE'
and the answer is 4.2244 x107 meters or 42,244 kilometers or
26,249 miles. (This is the distance as measured from the Earth's center).
1) Satellites that are in geosynchronous orbit circle the Earth once per day.
This eliminates the need for continuous repositioning of satellite receiving
dishes because even though the satellite is moving, it stays in the same
position relative to the Earth. Given that the Earth's mass is
5.9736x1024 kilograms and that the satellite's orbital period must be
86,400 seconds (one day), what altitude is required for a geosynchronous
2) The Moon orbits the Earth at a center-to-center distance of
3.86 x105 kilometers. As for determining the mass to use, scroll
to the top of the page. You will see that the 'M' in the formula stands
for the mass of both orbital bodies. Usually, the mass of one is
insignificant compared to the other. However, since the Moon's mass is about
1/81 that of the Earth's, it is important to use the sum of their
masses. Since the Moon's mass= .0735 X1024 kilograms and the Earth's
mass = 5.9736 x1024 kilograms, then their sum = 6.0471 x1024
Now that you have this information, how long does it take the Moon to
make one revolution around the Earth?
Click on the 'TIME' button. Enter the radius and mass data. Click on
'CALCULATE' and the answer is 2,371,900 seconds or 27.453 days.
3) Every 152,850 seconds, Io orbits Jupiter at an average orbital radius of
421,700 kilometers. What is Jupiter's Mass?
Click on the 'MASS' button. Enter the radius and time data.
Click on 'CALCULATE' and the answer is 1.8986 x 1027 kilograms.
For easy readability, the answers are displayed in a "significant figure" format so you will
not see answers such as 77.3333333333333333.
than 1,000 will be displayed in scientific notation and with the same number of
significant figures specified. You may change the significant figures displayed by
changing the number in the box above.
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